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assets/formulas/formulas.d4rt

@@ -387,5 +387,666 @@ This identity is derived from the Pythagorean theorem applied to the unit circle
        result = pow(sin(thetaRad), 2) + pow(cos(thetaRad), 2);
     """,
     "tags": ["trigonometry", "identity", "sine", "cosine"]
+  },
+
+  // Gravitational Potential Energy
+  {
+    "name": "Gravitational Potential Energy",
+    "description": r'''
+Energy possessed by an object due to its position in a gravitational field
+
+$$PE = mgh$$
+
+Where:
+- $m$: Mass of object (kilograms)
+- $g$: Gravitational acceleration ($9.81\ \mathrm{m/s^2}$ on Earth)
+- $h$: Height above reference point (meters)
+
+This energy increases with height and can be converted to kinetic energy.''',
+    "input": [
+      {"name": "m", "unit": "kilogram"},  // Mass
+      {"name": "h", "unit": "meter"},     // Height
+      {"name": "g", "unit": "meters per square second"}  // Gravitational acceleration
+    ],
+    "output": {"name": "PE", "unit": "joule"},  // Potential energy
+    "d4rtCode": "PE = m * g * h;",
+    "tags": ["physics", "energy", "mechanics", "gravity"]
+  },
+
+  // Linear Momentum
+  {
+    "name": "Linear Momentum",
+    "description": r'''
+Quantity of motion possessed by a moving object
+
+$$p = mv$$
+
+Where:
+- $p$: Momentum ($\mathrm{kg \cdot m/s}$)
+- $m$: Mass (kilograms)
+- $v$: Velocity (m/s)
+
+Momentum is conserved in isolated systems.''',
+    "input": [
+      {"name": "m", "unit": "kilogram"},  // Mass
+      {"name": "v", "unit": "meters per second"}  // Velocity
+    ],
+    "output": {"name": "p", "unit": "kilogram meter per second"},  // Momentum
+    "d4rtCode": "p = m * v;",
+    "tags": ["physics", "mechanics", "momentum"]
+  },
+
+  // Density
+  {
+    "name": "Density",
+    "description": r'''
+Mass per unit volume of a substance
+
+$$\rho = \frac{m}{V}$$
+
+Where:
+- $\rho$: Density ($\mathrm{kg/m^3}$)
+- $m$: Mass (kilograms)
+- $V$: Volume (cubic meters)
+
+Density is an intrinsic property of materials.''',
+    "input": [
+      {"name": "m", "unit": "kilogram"},  // Mass
+      {"name": "V", "unit": "cubic meter"}  // Volume
+    ],
+    "output": {"name": "rho", "unit": "kilogram per cubic meter"},  // Density
+    "d4rtCode": "rho = m / V;",
+    "tags": ["physics", "mechanics", "material"]
+  },
+
+  // Pressure
+  {
+    "name": "Pressure",
+    "description": r'''
+Force applied perpendicular to a surface per unit area
+
+$$P = \frac{F}{A}$$
+
+Where:
+- $P$: Pressure (Pascals)
+- $F$: Force (Newtons)
+- $A$: Area (square meters)
+
+Pressure is transmitted equally in all directions in fluids.''',
+    "input": [
+      {"name": "F", "unit": "newton"},  // Force
+      {"name": "A", "unit": "square meter"}  // Area
+    ],
+    "output": {"name": "P", "unit": "pascal"},  // Pressure
+    "d4rtCode": "P = F / A;",
+    "tags": ["physics", "mechanics", "fluid"]
+  },
+
+  // Work
+  {
+    "name": "Work",
+    "description": r'''
+Energy transferred when a force moves an object
+
+$$W = Fd\cos(\theta)$$
+
+Where:
+- $W$: Work (Joules)
+- $F$: Force (Newtons)
+- $d$: Displacement (meters)
+- $\theta$: Angle between force and displacement
+
+Maximum work occurs when force and displacement are parallel.''',
+    "input": [
+      {"name": "F", "unit": "newton"},  // Force
+      {"name": "d", "unit": "meter"},   // Displacement
+      {"name": "theta", "unit": "degree"}  // Angle
+    ],
+    "output": {"name": "W", "unit": "joule"},  // Work
+    "d4rtCode": """
+       var thetaRad = theta * (pi / 180);
+       W = F * d * cos(thetaRad);
+    """,
+    "tags": ["physics", "energy", "mechanics"]
+  },
+
+  // Power
+  {
+    "name": "Power",
+    "description": r'''
+Rate at which work is done or energy is transferred
+
+$$P = \frac{W}{t}$$
+
+Where:
+- $P$: Power (Watts)
+- $W$: Work or Energy (Joules)
+- $t$: Time (seconds)
+
+Power measures how quickly energy is used or transferred.''',
+    "input": [
+      {"name": "W", "unit": "joule"},  // Work or Energy
+      {"name": "t", "unit": "second"}  // Time
+    ],
+    "output": {"name": "P", "unit": "watt"},  // Power
+    "d4rtCode": "P = W / t;",
+    "tags": ["physics", "energy", "mechanics"]
+  },
+
+  // Coulomb's Law
+  {
+    "name": "Coulomb's Law",
+    "description": r'''
+Force between two electrically charged particles
+
+$$F = k_e\frac{q_1q_2}{r^2}$$
+
+Where:
+- $F$: Electrostatic force (Newtons)
+- $k_e$: Coulomb's constant $8.988\times 10^9\ \mathrm{N\cdot m^2/C^2}$
+- $q_1, q_2$: Electric charges (Coulombs)
+- $r$: Distance between charges (meters)
+
+Like charges repel, opposite charges attract.''',
+    "input": [
+      {"name": "q1", "unit": "coulomb"},  // Charge 1
+      {"name": "q2", "unit": "coulomb"},  // Charge 2
+      {"name": "r", "unit": "meter"}      // Distance
+    ],
+    "output": {"name": "F", "unit": "newton"},  // Force
+    "d4rtCode": "F = (8.9875517923e9 * q1 * q2) / pow(r, 2);",
+    "tags": ["physics", "electricity", "electrostatics"]
+  },
+
+  // Electric Power
+  {
+    "name": "Electric Power",
+    "description": r'''
+Rate at which electrical energy is transferred
+
+$$P = VI$$
+
+Where:
+- $P$: Power (Watts)
+- $V$: Voltage (Volts)
+- $I$: Current (Amperes)
+
+This formula is fundamental in electrical circuit analysis.''',
+    "input": [
+      {"name": "V", "unit": "volt"},  // Voltage
+      {"name": "I", "unit": "ampere"}  // Current
+    ],
+    "output": {"name": "P", "unit": "watt"},  // Power
+    "d4rtCode": "P = V * I;",
+    "tags": ["physics", "electricity", "electronics"]
+  },
+
+  // Ideal Gas Law
+  {
+    "name": "Ideal Gas Law",
+    "description": r'''
+Equation of state for an ideal gas
+
+$$PV = nRT$$
+
+Where:
+- $P$: Pressure (Pascals)
+- $V$: Volume (cubic meters)
+- $n$: Amount of substance (moles)
+- $R$: Universal gas constant $8.314\ \mathrm{J/(mol\cdot K)}$
+- $T$: Temperature (Kelvin)
+
+This law combines Boyle's, Charles's, and Avogadro's laws.''',
+    "input": [
+      {"name": "n", "unit": "mole"},     // Amount of substance
+      {"name": "T", "unit": "kelvin"},   // Temperature
+      {"name": "V", "unit": "cubic meter"}  // Volume
+    ],
+    "output": {"name": "P", "unit": "pascal"},  // Pressure
+    "d4rtCode": "P = (n * 8.314462618 * T) / V;",
+    "tags": ["physics", "thermodynamics", "gas"]
+  },
+
+  // Snell's Law
+  {
+    "name": "Snell's Law",
+    "description": r'''
+Law describing refraction of light at interface between media
+
+$$n_1\sin(\theta_1) = n_2\sin(\theta_2)$$
+
+Where:
+- $n_1, n_2$: Refractive indices of the two media
+- $\theta_1$: Angle of incidence
+- $\theta_2$: Angle of refraction
+
+This law explains how light bends when passing between materials.''',
+    "input": [
+      {"name": "n1", "unit": "scalar"},    // Refractive index 1
+      {"name": "n2", "unit": "scalar"},    // Refractive index 2
+      {"name": "theta1", "unit": "degree"} // Angle of incidence
+    ],
+    "output": {"name": "theta2", "unit": "degree"},  // Angle of refraction
+    "d4rtCode": """
+       var theta1Rad = theta1 * (pi / 180);
+       var sinTheta2 = (n1 * sin(theta1Rad)) / n2;
+       theta2 = asin(sinTheta2) * (180 / pi);
+    """,
+    "tags": ["physics", "optics", "light"]
+  },
+
+  // Buoyant Force (Archimedes' Principle)
+  {
+    "name": "Buoyant Force",
+    "description": r'''
+Upward force exerted on an object immersed in a fluid
+
+$$F_b = \rho g V$$
+
+Where:
+- $F_b$: Buoyant force (Newtons)
+- $\rho$: Fluid density ($\mathrm{kg/m^3}$)
+- $g$: Gravitational acceleration ($\mathrm{m/s^2}$)
+- $V$: Displaced volume (cubic meters)
+
+An object floats when buoyant force equals its weight.''',
+    "input": [
+      {"name": "rho", "unit": "kilogram per cubic meter"},  // Fluid density
+      {"name": "g", "unit": "meters per square second"},    // Gravitational acceleration
+      {"name": "V", "unit": "cubic meter"}                  // Displaced volume
+    ],
+    "output": {"name": "Fb", "unit": "newton"},  // Buoyant force
+    "d4rtCode": "Fb = rho * g * V;",
+    "tags": ["physics", "fluid", "mechanics"]
+  },
+
+  // Area of Circle
+  {
+    "name": "Area of Circle",
+    "description": r'''
+Area enclosed by a circle
+
+$$A = \pi r^2$$
+
+Where:
+- $A$: Area (square meters)
+- $r$: Radius (meters)
+- $\pi$: Pi ($\approx 3.14159$)
+
+The area is proportional to the square of the radius.''',
+    "input": [
+      {"name": "r", "unit": "meter"}  // Radius
+    ],
+    "output": {"name": "A", "unit": "square meter"},  // Area
+    "d4rtCode": "A = pi * pow(r, 2);",
+    "tags": ["geometry", "circle", "area"]
+  },
+
+  // Circumference of Circle
+  {
+    "name": "Circumference of Circle",
+    "description": r'''
+Perimeter (distance around) a circle
+
+$$C = 2\pi r$$
+
+Where:
+- $C$: Circumference (meters)
+- $r$: Radius (meters)
+- $\pi$: Pi ($\approx 3.14159$)
+
+The circumference is proportional to the radius.''',
+    "input": [
+      {"name": "r", "unit": "meter"}  // Radius
+    ],
+    "output": {"name": "C", "unit": "meter"},  // Circumference
+    "d4rtCode": "C = 2 * pi * r;",
+    "tags": ["geometry", "circle", "perimeter"]
+  },
+
+  // Area of Triangle
+  {
+    "name": "Area of Triangle",
+    "description": r'''
+Area enclosed by a triangle
+
+$$A = \frac{1}{2}bh$$
+
+Where:
+- $A$: Area (square meters)
+- $b$: Base length (meters)
+- $h$: Height perpendicular to base (meters)
+
+This formula works for any triangle.''',
+    "input": [
+      {"name": "b", "unit": "meter"},  // Base
+      {"name": "h", "unit": "meter"}   // Height
+    ],
+    "output": {"name": "A", "unit": "square meter"},  // Area
+    "d4rtCode": "A = 0.5 * b * h;",
+    "tags": ["geometry", "triangle", "area"]
+  },
+
+  // Area of Rectangle
+  {
+    "name": "Area of Rectangle",
+    "description": r'''
+Area enclosed by a rectangle
+
+$$A = lw$$
+
+Where:
+- $A$: Area (square meters)
+- $l$: Length (meters)
+- $w$: Width (meters)
+
+The area is the product of length and width.''',
+    "input": [
+      {"name": "l", "unit": "meter"},  // Length
+      {"name": "w", "unit": "meter"}   // Width
+    ],
+    "output": {"name": "A", "unit": "square meter"},  // Area
+    "d4rtCode": "A = l * w;",
+    "tags": ["geometry", "rectangle", "area"]
+  },
+
+  // Area of Trapezoid
+  {
+    "name": "Area of Trapezoid",
+    "description": r'''
+Area enclosed by a trapezoid
+
+$$A = \frac{1}{2}(a+b)h$$
+
+Where:
+- $A$: Area (square meters)
+- $a, b$: Lengths of parallel sides (meters)
+- $h$: Height (perpendicular distance between parallel sides, meters)
+
+The area is the average of parallel sides times height.''',
+    "input": [
+      {"name": "a", "unit": "meter"},  // Parallel side 1
+      {"name": "b", "unit": "meter"},  // Parallel side 2
+      {"name": "h", "unit": "meter"}   // Height
+    ],
+    "output": {"name": "A", "unit": "square meter"},  // Area
+    "d4rtCode": "A = 0.5 * (a + b) * h;",
+    "tags": ["geometry", "trapezoid", "area"]
+  },
+
+  // Volume of Sphere
+  {
+    "name": "Volume of Sphere",
+    "description": r'''
+Volume enclosed by a sphere
+
+$$V = \frac{4}{3}\pi r^3$$
+
+Where:
+- $V$: Volume (cubic meters)
+- $r$: Radius (meters)
+- $\pi$: Pi ($\approx 3.14159$)
+
+The volume is proportional to the cube of the radius.''',
+    "input": [
+      {"name": "r", "unit": "meter"}  // Radius
+    ],
+    "output": {"name": "V", "unit": "cubic meter"},  // Volume
+    "d4rtCode": "V = (4.0/3.0) * pi * pow(r, 3);",
+    "tags": ["geometry", "sphere", "volume"]
+  },
+
+  // Surface Area of Sphere
+  {
+    "name": "Surface Area of Sphere",
+    "description": r'''
+Total surface area of a sphere
+
+$$A = 4\pi r^2$$
+
+Where:
+- $A$: Surface area (square meters)
+- $r$: Radius (meters)
+- $\pi$: Pi ($\approx 3.14159$)
+
+The surface area is four times the area of a circle with the same radius.''',
+    "input": [
+      {"name": "r", "unit": "meter"}  // Radius
+    ],
+    "output": {"name": "A", "unit": "square meter"},  // Surface area
+    "d4rtCode": "A = 4 * pi * pow(r, 2);",
+    "tags": ["geometry", "sphere", "surface area"]
+  },
+
+  // Volume of Cylinder
+  {
+    "name": "Volume of Cylinder",
+    "description": r'''
+Volume enclosed by a cylinder
+
+$$V = \pi r^2 h$$
+
+Where:
+- $V$: Volume (cubic meters)
+- $r$: Radius of base (meters)
+- $h$: Height (meters)
+- $\pi$: Pi ($\approx 3.14159$)
+
+The volume is the area of the base times the height.''',
+    "input": [
+      {"name": "r", "unit": "meter"},  // Radius
+      {"name": "h", "unit": "meter"}   // Height
+    ],
+    "output": {"name": "V", "unit": "cubic meter"},  // Volume
+    "d4rtCode": "V = pi * pow(r, 2) * h;",
+    "tags": ["geometry", "cylinder", "volume"]
+  },
+
+  // Surface Area of Cylinder
+  {
+    "name": "Surface Area of Cylinder",
+    "description": r'''
+Total surface area of a cylinder (including top and bottom)
+
+$$A = 2\pi r(r + h)$$
+
+Where:
+- $A$: Total surface area (square meters)
+- $r$: Radius of base (meters)
+- $h$: Height (meters)
+- $\pi$: Pi ($\approx 3.14159$)
+
+This includes the lateral surface plus the two circular ends.''',
+    "input": [
+      {"name": "r", "unit": "meter"},  // Radius
+      {"name": "h", "unit": "meter"}   // Height
+    ],
+    "output": {"name": "A", "unit": "square meter"},  // Surface area
+    "d4rtCode": "A = 2 * pi * r * (r + h);",
+    "tags": ["geometry", "cylinder", "surface area"]
+  },
+
+  // Volume of Cone
+  {
+    "name": "Volume of Cone",
+    "description": r'''
+Volume enclosed by a cone
+
+$$V = \frac{1}{3}\pi r^2 h$$
+
+Where:
+- $V$: Volume (cubic meters)
+- $r$: Radius of base (meters)
+- $h$: Height (meters)
+- $\pi$: Pi ($\approx 3.14159$)
+
+The volume is one-third the volume of a cylinder with the same base and height.''',
+    "input": [
+      {"name": "r", "unit": "meter"},  // Radius
+      {"name": "h", "unit": "meter"}   // Height
+    ],
+    "output": {"name": "V", "unit": "cubic meter"},  // Volume
+    "d4rtCode": "V = (1.0/3.0) * pi * pow(r, 2) * h;",
+    "tags": ["geometry", "cone", "volume"]
+  },
+
+  // Volume of Cube
+  {
+    "name": "Volume of Cube",
+    "description": r'''
+Volume enclosed by a cube
+
+$$V = s^3$$
+
+Where:
+- $V$: Volume (cubic meters)
+- $s$: Side length (meters)
+
+The volume is the cube of the side length.''',
+    "input": [
+      {"name": "s", "unit": "meter"}  // Side length
+    ],
+    "output": {"name": "V", "unit": "cubic meter"},  // Volume
+    "d4rtCode": "V = pow(s, 3);",
+    "tags": ["geometry", "cube", "volume"]
+  },
+
+  // Surface Area of Cube
+  {
+    "name": "Surface Area of Cube",
+    "description": r'''
+Total surface area of a cube
+
+$$A = 6s^2$$
+
+Where:
+- $A$: Total surface area (square meters)
+- $s$: Side length (meters)
+
+The surface area is six times the area of one face.''',
+    "input": [
+      {"name": "s", "unit": "meter"}  // Side length
+    ],
+    "output": {"name": "A", "unit": "square meter"},  // Surface area
+    "d4rtCode": "A = 6 * pow(s, 2);",
+    "tags": ["geometry", "cube", "surface area"]
+  },
+
+  // Perimeter of Rectangle
+  {
+    "name": "Perimeter of Rectangle",
+    "description": r'''
+Total distance around a rectangle
+
+$$P = 2(l + w)$$
+
+Where:
+- $P$: Perimeter (meters)
+- $l$: Length (meters)
+- $w$: Width (meters)
+
+The perimeter is twice the sum of length and width.''',
+    "input": [
+      {"name": "l", "unit": "meter"},  // Length
+      {"name": "w", "unit": "meter"}   // Width
+    ],
+    "output": {"name": "P", "unit": "meter"},  // Perimeter
+    "d4rtCode": "P = 2 * (l + w);",
+    "tags": ["geometry", "rectangle", "perimeter"]
+  },
+
+  // Perimeter of Triangle
+  {
+    "name": "Perimeter of Triangle",
+    "description": r'''
+Total distance around a triangle
+
+$$P = a + b + c$$
+
+Where:
+- $P$: Perimeter (meters)
+- $a, b, c$: Side lengths (meters)
+
+The perimeter is the sum of all three sides.''',
+    "input": [
+      {"name": "a", "unit": "meter"},  // Side 1
+      {"name": "b", "unit": "meter"},  // Side 2
+      {"name": "c", "unit": "meter"}   // Side 3
+    ],
+    "output": {"name": "P", "unit": "meter"},  // Perimeter
+    "d4rtCode": "P = a + b + c;",
+    "tags": ["geometry", "triangle", "perimeter"]
+  },
+
+  // Area of Regular Polygon
+  {
+    "name": "Area of Regular Polygon",
+    "description": r'''
+Area of a regular polygon with n sides
+
+$$A = \frac{1}{4}ns^2\cot(\frac{\pi}{n})$$
+
+Where:
+- $A$: Area (square meters)
+- $n$: Number of sides
+- $s$: Side length (meters)
+- $\pi$: Pi ($\approx 3.14159$)
+
+This formula works for any regular polygon (equal sides and angles).''',
+    "input": [
+      {"name": "n", "unit": "scalar"},  // Number of sides
+      {"name": "s", "unit": "meter"}    // Side length
+    ],
+    "output": {"name": "A", "unit": "square meter"},  // Area
+    "d4rtCode": "A = 0.25 * n * pow(s, 2) * (cos(pi/n) / sin(pi/n));",
+    "tags": ["geometry", "polygon", "area"]
+  },
+
+  // Sum of Interior Angles of Polygon
+  {
+    "name": "Sum of Interior Angles",
+    "description": r'''
+Sum of interior angles of a polygon
+
+$$S = (n - 2) \times 180°$$
+
+Where:
+- $S$: Sum of interior angles (degrees)
+- $n$: Number of sides
+
+This formula works for any simple polygon.''',
+    "input": [
+      {"name": "n", "unit": "scalar"}  // Number of sides
+    ],
+    "output": {"name": "S", "unit": "degree"},  // Sum of angles
+    "d4rtCode": "S = (n - 2) * 180;",
+    "tags": ["geometry", "polygon", "angles"]
+  },
+
+  // Heron's Formula (Area of Triangle)
+  {
+    "name": "Heron's Formula",
+    "description": r'''
+Area of a triangle using only side lengths
+
+$$A = \sqrt{s(s-a)(s-b)(s-c)}$$
+
+Where:
+- $A$: Area (square meters)
+- $a, b, c$: Side lengths (meters)
+- $s$: Semi-perimeter $= \frac{a+b+c}{2}$
+
+This formula is useful when height is unknown.''',
+    "input": [
+      {"name": "a", "unit": "meter"},  // Side 1
+      {"name": "b", "unit": "meter"},  // Side 2
+      {"name": "c", "unit": "meter"}   // Side 3
+    ],
+    "output": {"name": "A", "unit": "square meter"},  // Area
+    "d4rtCode": """
+       var s = (a + b + c) / 2;
+       A = sqrt(s * (s - a) * (s - b) * (s - c));
+    """,
+    "tags": ["geometry", "triangle", "area"]
   }
 ]

assets/units/amount.d4rt.units

@@ -0,0 +1,10 @@
+[
+  {"name": "mole", "symbol": "mol", "isBase": true},
+  {"name": "millimole", "symbol": "mmol", "baseUnit": "mole", "factor": 0.001},
+  {"name": "micromole", "symbol": "µmol", "baseUnit": "mole", "factor": 0.000001},
+  {"name": "nanomole", "symbol": "nmol", "baseUnit": "mole", "factor": 0.000000001},
+  {"name": "picomole", "symbol": "pmol", "baseUnit": "mole", "factor": 0.000000000001},
+  {"name": "kilomole", "symbol": "kmol", "baseUnit": "mole", "factor": 1000},
+  {"name": "pound-mole", "symbol": "lb-mol", "baseUnit": "mole", "factor": 453.59237},
+  {"name": "kilopound-mole", "symbol": "kip-mol", "baseUnit": "mole", "factor": 453592.37}
+]

assets/units/charge.d4rt.units

@@ -0,0 +1,14 @@
+[
+  {"name": "coulomb", "symbol": "C", "isBase": true},
+  {"name": "millicoulomb", "symbol": "mC", "baseUnit": "coulomb", "factor": 0.001},
+  {"name": "microcoulomb", "symbol": "µC", "baseUnit": "coulomb", "factor": 0.000001},
+  {"name": "nanocoulomb", "symbol": "nC", "baseUnit": "coulomb", "factor": 0.000000001},
+  {"name": "picocoulomb", "symbol": "pC", "baseUnit": "coulomb", "factor": 0.000000000001},
+  {"name": "elementary charge", "symbol": "e", "baseUnit": "coulomb", "factor": 1.602176634e-19},
+  {"name": "faraday", "symbol": "F", "baseUnit": "coulomb", "factor": 96485.33212},
+  {"name": "ampere hour", "symbol": "A·h", "baseUnit": "coulomb", "factor": 3600},
+  {"name": "milliampere hour", "symbol": "mA·h", "baseUnit": "coulomb", "factor": 3.6},
+  {"name": "abcoulomb", "symbol": "abC", "baseUnit": "coulomb", "factor": 10},
+  {"name": "statcoulomb", "symbol": "statC", "baseUnit": "coulomb", "factor": 3.33564095198152e-10},
+  {"name": "franklin", "symbol": "Fr", "baseUnit": "coulomb", "factor": 3.33564095198152e-10}
+]

assets/units/derived.d4rt.units

@@ -0,0 +1,29 @@
+[
+  {"name": "kilogram per cubic meter", "symbol": "kg/m³", "isBase": true},
+  {"name": "gram per cubic meter", "symbol": "g/m³", "baseUnit": "kilogram per cubic meter", "factor": 0.001},
+  {"name": "gram per cubic centimeter", "symbol": "g/cm³", "baseUnit": "kilogram per cubic meter", "factor": 1000},
+  {"name": "gram per milliliter", "symbol": "g/mL", "baseUnit": "kilogram per cubic meter", "factor": 1000},
+  {"name": "gram per liter", "symbol": "g/L", "baseUnit": "kilogram per cubic meter", "factor": 1},
+  {"name": "kilogram per liter", "symbol": "kg/L", "baseUnit": "kilogram per cubic meter", "factor": 1000},
+  {"name": "pound per cubic foot", "symbol": "lb/ft³", "baseUnit": "kilogram per cubic meter", "factor": 16.018463373960142},
+  {"name": "pound per cubic inch", "symbol": "lb/in³", "baseUnit": "kilogram per cubic meter", "factor": 27679.904710203122},
+  {"name": "pound per gallon (US)", "symbol": "lb/gal (US)", "baseUnit": "kilogram per cubic meter", "factor": 119.82642731692088},
+  {"name": "pound per gallon (UK)", "symbol": "lb/gal (UK)", "baseUnit": "kilogram per cubic meter", "factor": 99.7763726624036},
+  {"name": "ounce per cubic foot", "symbol": "oz/ft³", "baseUnit": "kilogram per cubic meter", "factor": 1.0011539608725089},
+  {"name": "ounce per cubic inch", "symbol": "oz/in³", "baseUnit": "kilogram per cubic meter", "factor": 1729.9940443876951},
+  {"name": "ounce per gallon (US)", "symbol": "oz/gal (US)", "baseUnit": "kilogram per cubic meter", "factor": 7.489151707307555},
+  {"name": "ounce per gallon (UK)", "symbol": "oz/gal (UK)", "baseUnit": "kilogram per cubic meter", "factor": 6.236023291400225},
+  {"name": "slug per cubic foot", "symbol": "slug/ft³", "baseUnit": "kilogram per cubic meter", "factor": 515.3788183932036},
+  {"name": "ton (short) per cubic yard", "symbol": "ton (US)/yd³", "baseUnit": "kilogram per cubic meter", "factor": 1186.552842515002},
+  {"name": "ton (long) per cubic yard", "symbol": "ton (UK)/yd³", "baseUnit": "kilogram per cubic meter", "factor": 1328.9391836171522},
+  {"name": "specific gravity", "symbol": "SG", "baseUnit": "kilogram per cubic meter", "factor": 1000},
+
+  {"name": "kilogram meter per second", "symbol": "kg·m/s", "isBase": true},
+  {"name": "gram meter per second", "symbol": "g·m/s", "baseUnit": "kilogram meter per second", "factor": 0.001},
+  {"name": "kilogram kilometer per hour", "symbol": "kg·km/h", "baseUnit": "kilogram meter per second", "factor": 0.2777777777777778},
+  {"name": "pound foot per second", "symbol": "lb·ft/s", "baseUnit": "kilogram meter per second", "factor": 0.138254954376},
+  {"name": "pound foot per minute", "symbol": "lb·ft/min", "baseUnit": "kilogram meter per second", "factor": 0.0023042492396},
+  {"name": "slug foot per second", "symbol": "slug·ft/s", "baseUnit": "kilogram meter per second", "factor": 4.4482216152605},
+  {"name": "newton second", "symbol": "N·s", "baseUnit": "kilogram meter per second", "factor": 1},
+  {"name": "dyne second", "symbol": "dyn·s", "baseUnit": "kilogram meter per second", "factor": 0.00001}
+]

assets/units/power.d4rt.units

@@ -0,0 +1,23 @@
+[
+  {"name": "watt", "symbol": "W", "isBase": true},
+  {"name": "milliwatt", "symbol": "mW", "baseUnit": "watt", "factor": 0.001},
+  {"name": "microwatt", "symbol": "µW", "baseUnit": "watt", "factor": 0.000001},
+  {"name": "nanowatt", "symbol": "nW", "baseUnit": "watt", "factor": 0.000000001},
+  {"name": "picowatt", "symbol": "pW", "baseUnit": "watt", "factor": 0.000000000001},
+  {"name": "kilowatt", "symbol": "kW", "baseUnit": "watt", "factor": 1000},
+  {"name": "megawatt", "symbol": "MW", "baseUnit": "watt", "factor": 1000000},
+  {"name": "gigawatt", "symbol": "GW", "baseUnit": "watt", "factor": 1000000000},
+  {"name": "terawatt", "symbol": "TW", "baseUnit": "watt", "factor": 1000000000000},
+  {"name": "horsepower (metric)", "symbol": "hp (metric)", "baseUnit": "watt", "factor": 735.49875},
+  {"name": "horsepower (mechanical)", "symbol": "hp (mech)", "baseUnit": "watt", "factor": 745.6998715822702},
+  {"name": "horsepower (electrical)", "symbol": "hp (elec)", "baseUnit": "watt", "factor": 746},
+  {"name": "horsepower (boiler)", "symbol": "hp (boiler)", "baseUnit": "watt", "factor": 9809.5},
+  {"name": "BTU per hour", "symbol": "BTU/h", "baseUnit": "watt", "factor": 0.29307107},
+  {"name": "BTU per minute", "symbol": "BTU/min", "baseUnit": "watt", "factor": 17.5842642},
+  {"name": "BTU per second", "symbol": "BTU/s", "baseUnit": "watt", "factor": 1055.05585262},
+  {"name": "calorie per second", "symbol": "cal/s", "baseUnit": "watt", "factor": 4.184},
+  {"name": "kilocalorie per hour", "symbol": "kcal/h", "baseUnit": "watt", "factor": 1.163},
+  {"name": "erg per second", "symbol": "erg/s", "baseUnit": "watt", "factor": 0.0000001},
+  {"name": "foot-pound per second", "symbol": "ft·lb/s", "baseUnit": "watt", "factor": 1.3558179483314004},
+  {"name": "foot-pound per minute", "symbol": "ft·lb/min", "baseUnit": "watt", "factor": 0.02259696580552334}
+]

assets/units/temperature.d4rt.units

@@ -1,5 +1,6 @@
 [
   {"name": "Kelvin", "symbol": "K", "isBase": true},
+  {"name": "kelvin", "symbol": "K", "baseUnit": "Kelvin", "factor": 1},
   {
     "name": "Celsius",
     "symbol": "°C",

assets/units/volume.d4rt.units

@@ -0,0 +1,22 @@
+[
+  {"name": "cubic meter", "symbol": "m³", "isBase": true},
+  {"name": "cubic kilometer", "symbol": "km³", "baseUnit": "cubic meter", "factor": 1000000000},
+  {"name": "cubic centimeter", "symbol": "cm³", "baseUnit": "cubic meter", "factor": 0.000001},
+  {"name": "cubic millimeter", "symbol": "mm³", "baseUnit": "cubic meter", "factor": 0.000000001},
+  {"name": "cubic inch", "symbol": "in³", "baseUnit": "cubic meter", "factor": 0.000016387064},
+  {"name": "cubic foot", "symbol": "ft³", "baseUnit": "cubic meter", "factor": 0.028316846592},
+  {"name": "cubic yard", "symbol": "yd³", "baseUnit": "cubic meter", "factor": 0.764554857984},
+  {"name": "liter", "symbol": "L", "baseUnit": "cubic meter", "factor": 0.001},
+  {"name": "milliliter", "symbol": "mL", "baseUnit": "cubic meter", "factor": 0.000001},
+  {"name": "gallon (US)", "symbol": "gal (US)", "baseUnit": "cubic meter", "factor": 0.003785411784},
+  {"name": "gallon (UK)", "symbol": "gal (UK)", "baseUnit": "cubic meter", "factor": 0.00454609},
+  {"name": "quart (US)", "symbol": "qt (US)", "baseUnit": "cubic meter", "factor": 0.000946352946},
+  {"name": "pint (US)", "symbol": "pt (US)", "baseUnit": "cubic meter", "factor": 0.000473176473},
+  {"name": "cup (US)", "symbol": "cup (US)", "baseUnit": "cubic meter", "factor": 0.000236588236},
+  {"name": "fluid ounce (US)", "symbol": "fl oz (US)", "baseUnit": "cubic meter", "factor": 0.000029573529},
+  {"name": "tablespoon (US)", "symbol": "tbsp (US)", "baseUnit": "cubic meter", "factor": 0.000014786764},
+  {"name": "teaspoon (US)", "symbol": "tsp (US)", "baseUnit": "cubic meter", "factor": 0.000004928921},
+  {"name": "barrel (oil)", "symbol": "bbl", "baseUnit": "cubic meter", "factor": 0.158987294928},
+  {"name": "bushel (US)", "symbol": "bu (US)", "baseUnit": "cubic meter", "factor": 0.035239070166},
+  {"name": "peck (US)", "symbol": "pk (US)", "baseUnit": "cubic meter", "factor": 0.008809767541}
+]

flutterw

@@ -7,7 +7,7 @@ BUILDCACHE=./.build-container-cache
 DOCKERFILE=./docker/Dockerfile
 IMAGE=d4rt-formulas-builder
 
-detect_container(){
+detect_container_manager(){
 
     if [ "$DOCKER" != "" ]
     then
@@ -107,12 +107,17 @@ exec_in_container(){
     local SPIOPTIONS=$(spi_options)
     local GRAPHICOPTIONS=$(graphic_options)
     local DOCKEROPTIONS=$(docker_options)
-    mkdir -p $BUILDCACHE
+    mkdir -p $BUILDCACHE/root-home/.config
+    mkdir -p $BUILDCACHE/root-home/.local
+    mkdir -p $BUILDCACHE/sdks-flutter-bin-cache
+    
 
     $DOCKER run \
             -it \
             --init \
             --rm \
+            -v $BUILDCACHE/root-home/.config:/root/.config \
+            -v $BUILDCACHE/root-home/.local:/root/.local \
             $DOCKEROPTIONS \
             $GRAPHICOPTIONS \
             $SPIOPTIONS \
@@ -125,7 +130,7 @@ exec_in_container(){
 }
 
 main(){
-    detect_container
+    detect_container_manager
 
     if [ "$1" = "--build-container" ]; then
         build_image

lib/database/database_service.dart

@@ -12,9 +12,11 @@ extension CorpusDatabaseExtension on FormulasDatabase {
     for (final element in elements) {
       try {
         final parsed = models.parseCorpusElements('[${element.elementText}]');
+        print("PARSED:$element");
         parsedElements.addAll(parsed);
       } catch (e) {
         print('Error parsing database element: $e');
+        print("NOT PARSED: $element");
         // Skip invalid elements but continue processing others
         continue;
       }
@@ -33,4 +35,4 @@ extension CorpusDatabaseExtension on FormulasDatabase {
       await insertFormulaElement(element.toStringLiteral());
     }
   }
-}
+}

lib/defaults/default_corpus.dart

@@ -18,9 +18,12 @@ Future<Corpus> createDefaultCorpus() async{
 
   Future<void> loadUnits() async {
     final unitResources = [
+      "assets/units/amount.d4rt.units",
       "assets/units/angle.d4rt.units",
       "assets/units/area.d4rt.units",
+      "assets/units/charge.d4rt.units",
       "assets/units/currency.d4rt.units",
+      "assets/units/derived.d4rt.units",
       "assets/units/distance.d4rt.units",
       "assets/units/elasticity.d4rt.units",
       "assets/units/electricity.d4rt.units",
@@ -28,11 +31,13 @@ Future<Corpus> createDefaultCorpus() async{
       "assets/units/frequency.d4rt.units",
       "assets/units/force.d4rt.units",
       "assets/units/mass.d4rt.units",
+      "assets/units/power.d4rt.units",
       "assets/units/pressure.d4rt.units",
       "assets/units/scalar.d4rt.units",
       "assets/units/temperature.d4rt.units",
       "assets/units/time.d4rt.units",
       "assets/units/velocity.d4rt.units",
+      "assets/units/volume.d4rt.units",
     ];
 
     for (final unitRes in unitResources) {